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44354320 = 245612149
BaseRepresentation
bin1010100100110…
…0101100010000
310002110102200121
42221030230100
542323314240
64222400024
71046001613
oct251145420
9102412617
1044354320
112304506a
1212a30014
13925c77a
145c6817a
153d6204a
hex2a4cb10

44354320 has 60 divisors (see below), whose sum is σ = 105545700. Its totient is φ = 17333760.

The previous prime is 44354267. The next prime is 44354351. The reversal of 44354320 is 2345344.

It can be written as a sum of positive squares in 6 ways, for example, as 26915344 + 17438976 = 5188^2 + 4176^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 297606 + ... + 297754.

It is an arithmetic number, because the mean of its divisors is an integer number (1759095).

Almost surely, 244354320 is an apocalyptic number.

44354320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44354320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52772850).

44354320 is an abundant number, since it is smaller than the sum of its proper divisors (61191380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44354320 is a wasteful number, since it uses less digits than its factorization.

44354320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 44354320 is about 6659.9039032106. The cubic root of 44354320 is about 353.9799322575.

Adding to 44354320 its reverse (2345344), we get a palindrome (46699664).

The spelling of 44354320 in words is "forty-four million, three hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 149 244 298 305 488 596 610 745 976 1192 1220 1490 2384 2440 2980 3721 4880 5960 7442 9089 11920 14884 18178 18605 29768 36356 37210 45445 59536 72712 74420 90890 145424 148840 181780 297680 363560 554429 727120 1108858 2217716 2772145 4435432 5544290 8870864 11088580 22177160 44354320